Should the internal energy of a system necessarily increase if heat is added to it?

Should the internal energy of a system necessarily increase if its tempreture is increased?

What is the internal energy of the system, when the amount of heat Q is added to the system and the system does not do any work during the process?

"When heat is added to a system, the internal energy of the system must increase". Justify this statement.

Calculate the changes in internal energy of a system if, 300 J of heat energy is added to the system and a work of 160 J is done on the system.

Calculate the changes in internal energy of a system if, 400 calorie of heat energy are added to the system and the system does 500 calories of work on the surroundings.

If 2kcal heat is given to a system and 6 kcal work is done on the system then the internal energy of system will increase by how many kcal?

A substance is taken through the process abc as shown in, if the internal energy of the substance increase by 5000 J and a heat of 2625 cal is given to the system, calculate the value of J.

Calculate the external workdone by the system in Kcal, when 40 Kcal of heat is supplied to the system and internal energy rises by 8400J.

When work done by a system was 10J, the increase in the internal energy of the system was 30J. The heat 'q' supplied to the system was: